10202122116181 has 2 divisors, whose sum is σ = 10202122116182. Its totient is φ = 10202122116180.

The previous prime is 10202122116127. The next prime is 10202122116209. The reversal of 10202122116181 is 18161122120201.

It is an a-pointer prime, because the next prime (10202122116209) can be obtained adding 10202122116181 to its sum of digits (28).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10201374093681 + 748022500 = 3193959^2 + 27350^2 .

It is an emirp because it is prime and its reverse (18161122120201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10202122116181 - 2¹⁷ = 10202121985109 is a prime.

It is a super-2 number, since 2×10202122116181² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10202122116481) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5101061058090 + 5101061058091.

It is an arithmetic number, because the mean of its divisors is an integer number (5101061058091).

Almost surely, 2^{10202122116181} is an apocalyptic number.

It is an amenable number.

10202122116181 is a deficient number, since it is larger than the sum of its proper divisors (1).

10202122116181 is an equidigital number, since it uses as much as digits as its factorization.

10202122116181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 28.

Adding to 10202122116181 its reverse (18161122120201), we get a palindrome (28363244236382).

The spelling of 10202122116181 in words is "ten trillion, two hundred two billion, one hundred twenty-two million, one hundred sixteen thousand, one hundred eighty-one".